Definition of derivative

**RyGuy** · March 21st 2010, 03:52 PM

Using the definition of derivative evaluate the following

lim 1/h *( 1/(1+h)^2 - 1)
h>0

**skeeter** · March 21st 2010, 04:00 PM

Originally Posted by RyGuy

Using the definition of derivative evaluate the following

lim 1/h *( 1/(1+h)^2 - 1)
h>0

the function is $f(x) = \frac{1}{x^2}$

the limit is $f'(1)$

**chisigma** · March 21st 2010, 04:06 PM

Is...

$\lim_{h \rightarrow 0} \frac{\frac{1}{(1+h)^{2}}-1}{h} = \frac{d}{dx} \frac{1}{(1+x)^{2}}_{x=0}= -\frac{2}{(1+x)^{3}}_{x=0} = -2$ (1)

Kind regards

$\chi$ $\sigma$

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